Multidimensional two-phase quasistationary stefan problem Academic Article uri icon

abstract

  • Existence and uniqueness of the classic solution to a two-dimensional quasistationary Stefan problem are considered. The family of model problems dependent on the parameter ε> 0 which defines a heat conductivity of a matter in the direction of the x-axis is analysed. When ε→ 0 it is approximated by the approximate model problem having less dimensions. Analogous results are also valid for a three-dimensional problem.

publication date

  • January 1, 1993